Exploring Pascal`s Triangle
... Note that the strategy still works, but we have to be careful since even while we’re working on the part where we find all triples that start with A, we still have to find all the pairs that can follow. Note that this has, in a sense, been solved in the previous example, since if you know you’re beg ...
... Note that the strategy still works, but we have to be careful since even while we’re working on the part where we find all triples that start with A, we still have to find all the pairs that can follow. Note that this has, in a sense, been solved in the previous example, since if you know you’re beg ...
9-5 Proportions in Triangles
... The altitude of a right triangle to the hypotenuse is the geometric mean of the segments of the hypotenuse it creates. A leg of a right triangle is the geometric mean of the hypotenuse and the segments of the hypotenuse created by the altitude, adjacent to the leg. ...
... The altitude of a right triangle to the hypotenuse is the geometric mean of the segments of the hypotenuse it creates. A leg of a right triangle is the geometric mean of the hypotenuse and the segments of the hypotenuse created by the altitude, adjacent to the leg. ...
Weber problem
In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.